BMN operators with vector impurities, Z_2 symmetry and pp-waves

Abstract

We calculate the coefficients of three-point functions of BMN operators with two vector impurities. We find that these coefficients can be obtained from those of the three-point functions of scalar BMN operators by interchanging the coefficient for the symmetric-traceless representation with the coefficient for the singlet. We conclude that the Z_2 symmetry of the pp-wave string theory is not manifest at the level of field theory three-point correlators.

25 pages, 7 figures. v1: A reference and a footnote added; v2: New contributions found, Z_2 symmetry lost in 3-point functions

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Cited by in corpus (16)

• The Complete One-Loop Dilatation Operator of N=4 Super Yang-Mills Theory
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• Resolving the Holography in the Plane-Wave Limit of AdS/CFT Correspondence
• SL(2) sector: weak/strong coupling agreement of three-point correlators
• Surprises from the Resolution of Operator Mixing in N = 4 SYM
• An alternative formulation of light-cone string field theory on the plane wave
• Impurity Non-Preserving 3-Point Correlators of BMN Operators from PP-Wave Holography II : Fermionic Excitations
• Fermion BMN operators, the dilatation operator of N=4 SYM, and pp-wave string interactions
• The Duality between IIB String Theory on PP-wave and N=4 SYM: a Status Report
• Light-Cone String Field Theory in a Plane Wave Background
• Holographic cubic vertex in the pp-wave
• New tests of the pp-wave correspondence
• BMN Operators from Wilson Loop
• Local Commutativity and Causality in Interacting PP-wave String Field Theory
• BMN operators with a scalar fermion pair and operator mixing in N=4 Super Yang-Mills Theory
• The AdS/CFT Correspondence: Classical, Quantum, and Thermodynamical Aspects